Simplify: 12x - [3x^3 + 5x^2 - 7x^2 - (4 - 3x - x^3) + 6x^3 - 3x] - Vidyadip

Question

Simplify:
$12x - [3x^3 + 5x^2 - {7x^2 - (4 - 3x - x^3) + 6x^3} - 3x]$

✓

Answer

Removing the innermost grouping symbol () first, then { } and then [ ], we have:
$12x - [3x^3 + 5x^2 - {7x^2 - (4 - 3x - x^3) + 6x^3} - 3x]$
$= 12x - [3x^3 - 5x^2 - {7x^2 - 4 + 3x + x^3 + 6x^3} - 3x]$
$= 12x - [3x^3 + 5x^2 - {7x^2 - 4 + 3x + 7x^3} - 3x]$
$= 12x - [3x^3 + 5x^2 - 7x^2 + 4 - 3x - 7x^3 - 3x]$
$= 12x - [3x^3 - 7x^3 + 5x^2 - 7x^2 + 4 - 3x - 3x]$
$= 12x - [ - 4x^3 + 2x^2 + 4 - 6x]$
$= 12x + 4x^3 + 2x^2 - 4 + 6x$
$= 12x + 6x + 4x^3 + 2x^2 - 4$
$= 18x + 4x^3 + 2x^2 - 4$
$= 4x^3 + 2x^2 + 18x - 4$

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